A152789 Football tournament numbers with distinct point totals: number of point series in A064626 in which no two teams have the same total number of points.

1, 1, 3, 13, 84, 578, 3931, 26258, 173708, 1143860, 7516179, 49344260

Offset

1,3

Comments

Only 2 outcomes exist in which all scores are distinct and prime: a 6-team series, [2,3,5,7,11,13] and an 8-team series, [2,3,5,7,11,13,17,19].

Links

Table of n, a(n) for n=1..12.

Example

For 2 teams, [0,3] is the only possible outcome with no repeated point totals, so a(2) = 1.
For 3 teams, the only outcomes are [0,3,6], [1,2,4] and [1,3,4], so a(3) = 3.

Crossrefs

Cf. A064626.

Sequence in context: A104032 A130406 A225236 * A192943 A366657 A369550

Adjacent sequences: A152786 A152787 A152788 * A152790 A152791 A152792

Keyword

hard,more,nonn

Author

Jon E. Schoenfield, Dec 13 2008

Status

approved